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arXiv · 1410.2872

A Plancherel formula for L^2(G/H) for almost symmetric subgroups

Bent Orsted·Birgit Speh
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Abstract

In this paper we study the Plancherel formula for a new class of homogeneous spaces for real reductive Lie groups; these spaces are fibered over non-Riemannian symmetric spaces, and they exhibit a phenomenon of uniform infinite multiplicities. They also provide examples of non-tempered representations of the group appearing in the Plancherel formula. Several classes of examples are given.

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BibTeXRIS

Bent Orsted, Birgit Speh. 2014-10-10. A Plancherel formula for L^2(G/H) for almost symmetric subgroups. https://doi.org/10.2140/pjm.2016.283.157

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